• Corpus ID: 247011643

Annihilators and dimensions of the singularity category

  title={Annihilators and dimensions of the singularity category},
  author={Jian Liu},
  • Jian Liu
  • Published 19 February 2022
  • Mathematics
Let R be a commutative noetherian ring. We prove that if R is either an equidimensional finitely generated algebra over a perfect field, or an equidimensional equicharacteristic complete local ring with a perfect residue field, then the annihilator of the singularity category of R coincides with the Jacobian ideal of R up to radical. We establish a relation between the annihilator of the singularity category of R and the cohomological annihilator of R under some mild assumptions. Finally, we… 


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